Pith Number

pith:VE6X3XXF

pith:2015:VE6X3XXF7ZRDBKWFNVS2UKSGT3

not attested not anchored not stored refs pending

Energy Efficiency with Proportional Rate Fairness in Multi-Relay OFDM Networks

Ke Xiong, Khaled Ben Letaief, Pingyi Fan, Yang Lu

arxiv:1511.07566 v1 · 2015-11-24 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VE6X3XXF7ZRDBKWFNVS2UKSGT3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:26:04.381693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a93d7ddee5fe6230aac56d65aa2a469ecd560a0749402bd4fc941119cfdc8901

Aliases

arxiv: 1511.07566 · arxiv_version: 1511.07566v1 · doi: 10.48550/arxiv.1511.07566 · pith_short_12: VE6X3XXF7ZRD · pith_short_16: VE6X3XXF7ZRDBKWF · pith_short_8: VE6X3XXF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VE6X3XXF7ZRDBKWFNVS2UKSGT3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a93d7ddee5fe6230aac56d65aa2a469ecd560a0749402bd4fc941119cfdc8901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11dcea3f6c9c473b1ba9aba059c60cf9814efd8247ad326bdb6a98d9526840ba",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-24T04:59:18Z",
    "title_canon_sha256": "b951ff7c994c59c161dc4beccbb60d0c5de35e9e646a9b8ecd10e876ec344082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07566",
    "kind": "arxiv",
    "version": 1
  }
}